---
id: 20260329-T0-07
title: "Knuth的Claude Cycles问题被LLM完全解决"
title_en: "Knuth's Claude Cycles Problem Fully Solved by LLMs"
url: https://ai.daily.yangsir.net/daily/20260329-T0-07
issue_date: 2026-03-29
publish_date: 2026-03-28T18:38:59.000Z
category: news
source_name: "HN AI 精选"
source_url: https://twitter.com/BoWang87/status/2037648937453232504
---

# Knuth的Claude Cycles问题被LLM完全解决

计算机科学家Knuth提出的Claude Cycles数学问题已被大型语言模型完全解决。该问题涉及特定算法的循环结构，曾困扰研究者多年。最新结果显示Claude 3.5和GPT-4都能准确解答，证明LLM在复杂数学推理能力上的突破。这一成果为AI辅助数学研究提供了新范例。

## English Version

**Knuth's Claude Cycles Problem Fully Solved by LLMs**

The Claude Cycles mathematical problem posed by computer scientist Knuth has been fully solved by large language models. The problem, concerning algorithmic loop structures, had puzzled researchers for years. Recent results show Claude 3.5 and GPT-4 can both solve it accurately, demonstrating a breakthrough in LLMs' complex mathematical reasoning capabilities and providing a new model for AI-assisted mathematical research.

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**来源**：[HN AI 精选](https://twitter.com/BoWang87/status/2037648937453232504)

**详情页**：https://ai.daily.yangsir.net/daily/20260329-T0-07

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